I want to find the period for f(x) = 2cos(10x +1) - sin(4x -1). If 10 = 2pi/Ta and 4 =2pi/Tb, then Ta = pi/5 and Tb = pi/2 the book says is just pi, why ?
2026-03-29 06:55:21.1774767321
How to find the period of this function?
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hint
The periods of the $\cos$ function are
$$\frac \pi 5,2\frac\pi 5, 3\frac \pi 5, 4\frac \pi 5 ,\pi, ...$$
the periods of the $\sin$ function are
$$\frac \pi 2, \pi, 3\frac \pi 2,...$$
the smallest common one is $T=\pi$.